Chances are that it is the stock standard red that Bally used around the time... after a few cabinet restores and stencil making, you quickly realise that the same colours are used over and over again.
I have a Capt fant cabinet here which i did some colour codes with. A donor cab which will become Capt fant is Nightrider... both have the same red and blue.. then i have a Bally Hi Deal here.. again.. same red.
Stencil paints were applied very very thinly which is why you cannot feel any edges to the paint on your cabinet... colour variation comes in with what it was sprayed over.
If your base colour is a yellow of sorts and you spray stock standard red over it then it appears as an orange... spray over a blue and it deepens quite a bit and takes on a purple effect...

... same stock standard red though.

Colour match i have for Bally RED is PANTONE 199C.

Which if i put through Corel and convert to CMYK is..
C=0, M=100, Y=69, K=0


RGB..
R = 219, G=34, B=67.

This colour is a red with an orange tint to it.

Any help to you??

Any spray gold will do the trick.